Hi!
Let G be the third Conway group, S its Sylow 2-subgroup, and
N the normaliser of the centre of S in G.
Gap is able to compute the list of double coset representatives of N in
G using the command
gap> DC := DoubleCosetRepsAndSizes(G,N,N);;
gap> Length(DC);
7
Actually, if I understand correctly, DC is not a list but an iterator,
but for a list of size 7 this shouldn't matter so much.
Anyway. If I do the above computation in the Sage pexpect interface to
gap, the line
DC = G.DoubleCosetRepsAndSizes(N,N)
gives an error:
RuntimeError: Gap produced error output
Error, reached the pre-set memory limit
(change it with the -o command line option)
executing
__SAGE_LAST__:="__SAGE_LAST__";;DoubleCosetRepsAndSizes(\$sage1,\$sage8,\$sage8);;
If I recall correctly, the above worked fine a couple of years ago, when
I achieved the first computation of the mod-2 cohomology of the third
Conway group.
So, what has changed? Is the memory limit for gap-via-pexpect different
from the memory limit of "sage -gap"? Has that memory limit changed in
the past years? How can I work around (i.e., set the memory limit of
gap-via-pexpect to the apparently sufficient memory limit used by "sage
-gap")?
Best regards,
Simon
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